What is the limit as x approaches 2 of (2-x)^{x-2} ?

The limit as x approaches 2 of (2-x)^{x-2} is Does not exist

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limit as x approaches 2 of (2-x)^{x-2}

x \to 2 lim ((2 - x)^{x - 2})

Does not exist

Solution steps

x \to 2 lim ((2 - x)^{x - 2})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 2 + lim ((2 - x)^{x - 2}) =

Does not exist

x \to 2 - lim ((2 - x)^{x - 2}) = 1

= Does not exist

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\frac{d y}{d x} = \frac{3 x ^{2} + 4 x - 4}{2 y - 4}, y (1) = 3

n = 3 \sum \infty \frac{1}{2} \cdot (\frac{5}{7})^{n}

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What is the limit as x approaches 2 of (2-x)^{x-2} ?
The limit as x approaches 2 of (2-x)^{x-2} is Does not exist